What is the basic trigonometric identity you would use to verify that secx sinx = tanx

The answer is for the problem shown above is:

secx=1/cosx

The explanation is shown below:

1. To solve this problem you must apply the following proccedure:

2. You have to verify if secx sinx=tanx, so, you have:

3. You know that secx=1/cosx, and tanx=sinx/cosx, therefore:

(secx) (sinx)

(1/cosx) (sinx)

sinx/cosx

tanx